Published in Int. Journal for Numerical Methods in Engineering Vol. 11 (10), pp. 1545-1558, 1977
doi: 10.1002/nme.1620111006
Abstract
A two noded, straight element which includes shear deformation effects is presented and shown to be extremely efficient in the analysis of axisymmetric shells. A single point of numerical integration is essential for its success when applied to thin shells where the results compare favourably with those achieved with more complex curved elements.
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Published on 01/01/1977
DOI: 10.1002/nme.1620111006
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 77
Crossref Cited-by Times cited: 93
OpenCitations.net Times cited: 50
OpenCitations.net - Citing documents:
- E. Hinton, J. Sienz, M. Özakça. Introduction. DOI 10.1007/978-0-85729-424-1_1
- E. Hinton, J. Sienz, M. Özakça. Basic Finite Element Formulation for Shells of Revolution. DOI 10.1007/978-0-85729-424-1_4
- F. Kollmann, V. Bergmann. Numerical analysis of viscoplastic axisymmetric shells based on a hybrid strain finite element. Computational Mechanics 7(2) DOI 10.1007/bf00375924
- C. Fischer, K. Fritz, P. Eberhard, H. Kück. Investigation and design of an impact actuated micro shift valve. Arch Appl Mech 83(8) (2013) DOI 10.1007/s00419-013-0741-x
- F. Scarpa, S. Adhikari, A. Gil, C. Remillat. The bending of single layer graphene sheets: the lattice versus continuum approach. Nanotechnology 21(12) (2010) DOI 10.1088/0957-4484/21/12/125702
- J. Kim. Harmonic axisymmetric thick shell element for static and vibration analyses. KSME International Journal 18(10) DOI 10.1007/bf02984323
- A. Akoz, N. Eratli. A sectorial element based on Reissner plate theory. Structural Engineering and Mechanics 9(6) DOI 10.12989/sem.2000.9.6.519
- N. Eratli, A. Akoz. Mixed finite element formulation for folded plates. Structural Engineering and Mechanics 13(2) DOI 10.12989/sem.2002.13.2.155
- H. Stolarskl, T. Belytschko, N. Carpenter. Bending and Shear Mode Decomposition in C° Structural Elements. Journal of Structural Mechanics 11(2) (2007) DOI 10.1080/03601218308907439
- Y. Toi, K. Yuge, K. Obata, T. Nagayama. Finite Element Crush Analysis of Structural Components and Experimental Validations. (1987) DOI 10.4271/871246
- J. Batoz, K. Bathe, L. Ho. A study of three-node triangular plate bending elements. Int. J. Numer. Meth. Engng. 15(12) DOI 10.1002/nme.1620151205
- J. Vykutil. Explicit stiffness matrix of multipurpose linear element. Int. J. Numer. Meth. Engng. 17(12) DOI 10.1002/nme.1620171211
- E. Alarcon, J. Vykutil. Letters to the editor. Int. J. Numer. Meth. Engng. 19(7) DOI 10.1002/nme.1620190713
- J. Vykutil. Asymmetric bending of axisymmetric shells. Int. J. Numer. Meth. Engng. 20(1) DOI 10.1002/nme.1620200112
- T. Belytschko, H. Stolarski, N. Carpenter. AC0 triangular plate element with one-point quadrature. Int. J. Numer. Meth. Engng. 20(5) DOI 10.1002/nme.1620200502
- G. Prathap, C. Babu. A field consistent three-noded quadratic curved axisymmetric shell element. Int. J. Numer. Meth. Engng. 23(4) DOI 10.1002/nme.1620230413
- C. Babu, G. Prathap. A field-consistent two-noded curved axisymmetric shell element. Int. J. Numer. Meth. Engng. 23(7) DOI 10.1002/nme.1620230705
- P. Řeřicha. Optimum load time history for non-linear analysis using dynamic relaxation. Int. J. Numer. Meth. Engng. 23(12) DOI 10.1002/nme.1620231212
- E. Oñate, M. Kleiber, C. De Saracibar. Plastic and viscoplastic flow of void-containing metals. Applications to axisymmetric sheet forming problems. Int. J. Numer. Meth. Engng. 25(1) DOI 10.1002/nme.1620250118
- A. Tessler, L. Spiridigliozzi. Resolving membrane and shear locking phenomena in curved shear-deformable axisymmetric shell elements. Int. J. Numer. Meth. Engng. 26(5) DOI 10.1002/nme.1620260506
- W. Wagner. A finite element model for non-linear shells of revolution with finite rotations. Int. J. Numer. Meth. Engng. 29(7) DOI 10.1002/nme.1620290706
- R. Day, D. Potts. Curved Mindlin beam and axi-symmetric shell elements—A new approach. Int. J. Numer. Meth. Engng. 30(7) DOI 10.1002/nme.1620300704
- E. Oñate, C. de Saracibar. Finite element analysis of sheet metal forming problems using a selective viscous bending/membrane formulation. Int. J. Numer. Meth. Engng. 30(8) DOI 10.1002/nme.1620300815
- Y. Toi. Shifted integration technique in one-dimensional plastic collapse analysis using linear and cubic finite elements. Int. J. Numer. Meth. Engng. 31(8) DOI 10.1002/nme.1620310807
- J. Kim, Y. Kim. Higher‐order hybrid‐mixed axisymmetric thick shell element for vibration analysis. Int. J. Numer. Meth. Engng. 51(2) DOI 10.1002/nme.176
- K. Viswanathan, J. Lee, Z. Aziz, I. Hossain, W. Rongqiao, H. Abdullah. Vibration analysis of cross-ply laminated truncated conical shells using a spline method. J Eng Math 76(1) (2012) DOI 10.1007/s10665-011-9525-x
- Y. KIM, J. KIM. A SIMPLE AND EFFICIENT MIXED FINITE ELEMENT FOR AXISYMMETRIC SHELL ANALYSIS. Int. J. Numer. Meth. Engng. 39(11) DOI 10.1002/(sici)1097-0207(19960615)39:11<1903::aid-nme935>3.0.co;2-i
- A. Ak�z, A. �z�tok. A functional for shells of arbitrary geometry and a mixed finite element method for parabolic and circular cylindrical shells. Int. J. Numer. Meth. Engng. 47(12) DOI 10.1002/(sici)1097-0207(20000430)47:12<1933::aid-nme860>3.0.co;2-0
- V. Toropov. Simulation approach to structural optimization. Structural Optimization 1(1) DOI 10.1007/bf01743808
- S. Fan, M. Luah. New Spline Finite Element for Analysis of Shells of Revolution. Journal of Engineering Mechanics 116(3) DOI 10.1061/(asce)0733-9399(1990)116:3(709)
- P. Rericha. Layer Model of Bending‐Shear Failure in RC Plates and Beams. Journal of Structural Engineering 117(10) DOI 10.1061/(asce)0733-9445(1991)117:10(2865)
- F. Schroeder, R. Day, D. Potts, T. Addenbrooke. Quadrilateral Isoparametric Shear Deformable Shell Element for Use in Soil-Structure Interaction Problems. Int. J. Geomech. 7(1) DOI 10.1061/(asce)1532-3641(2007)7:1(44)
- E. Stein, W. Wagner, P. Wriggers. Grundlagen nichtlinearer Berechnungsverfahren in der Strukturmechanik. DOI 10.1007/978-3-642-95587-7_1
- K. Bathe. Formulierung und Berechnung von isoparametrischen Finite-Elemente-Matrizen. DOI 10.1007/978-3-642-96905-8_5
- E. Oñate, C. de Saracibar. Finite Element Analysis Of Sheet Metal Forming Problems Using A Viscous Voided Shell Formulation. DOI 10.1007/978-94-009-1411-7_19
- J. Faye, M. Touratier. Un nouvel élément fini de coque axisymétrique semi-épaisse. Revue Européenne des Éléments Finis 2(3) (2012) DOI 10.1080/12506559.1993.10511080
- S. Moy, S. Lam. A new formulation for plate and shell finite elements. Commun. appl. numer. methods 6(6) DOI 10.1002/cnm.1630060606
- S. Moy, S. Lam. Geometrically non-linear analysis of shell structures. Commun. Appl. Numer. Methods 7(5) DOI 10.1002/cnm.1630070505
- V. Maksimyuk, I. Chernyshenko. Nonlinear elastic state of thin-walled toroidal shells made of orthotropic composites. Int Appl Mech 35(12) DOI 10.1007/bf02682397
- E. HINTON, N. RAO, J. SIENZ. FINITE ELEMENT STRUCTURAL SHAPE AND THICKNESS OPTIMIZATION OF AXISYMMETRIC SHELLS. Engineering Computations 9(5) DOI 10.1108/eb023880
- K. Bathe, L. Ho. Some Results in the Analysis of Thin Shell Structures. DOI 10.1007/978-3-642-81589-8_8
- E. Stein, W. Wagner, P. Wriggers. Finite Element Postbuckling Analyis of Shells with Nonlinear Contact Constraints. DOI 10.1007/978-3-642-82704-4_39
- E. Oñate, R. Lama. Possibilities of the finite element viscous shell approach for analysis of sheet metal forming problems. DOI 10.1007/978-3-642-82810-2_9
- C. Mota Soares, C. Mota Soares, P. Pinto, J. Barbosa. Optimal Design of Axisymmetric Shell Structures with Static and Dynamic Constraints. DOI 10.1007/978-3-642-83707-4_30
- F. Kollmann, V. Bergmann. A New Mixed Finite Element for Analysis of Axisymmetric Inelastic Shells. DOI 10.1007/978-3-642-84045-6_11
- P. Wriggers, W. Wagner, E. Stein. Algorithms for non-linear contact constraints with application to stability problems of rods and shells. Computational Mechanics 2(3) DOI 10.1007/bf00571026
- J. KIM, Y. KIM. A simple and efficient mixed harmonic element for shells of revolution. Commun. Numer. Meth. Engng. 13(7) (1998) DOI 10.1002/(sici)1099-0887(199707)13:7<565::aid-cnm83>3.0.co;2-a
- E. Stein, W. Wagner, P. Wriggers. Nonlinear stability-analysis of shell and contact-problems including branch-switching. Computational Mechanics 5(6) DOI 10.1007/bf01113447
- E. Onate, B. Suarez, E. Hinton. Finite Streifenmethode für Mindlinsche Platten und axialsymmetrische Schalen. DOI 10.1007/978-3-642-50182-1_2
- E. Stein, D. Bischoff, N. Müller-Hoeppe, W. Wagner, P. Wriggers. Five Lectures on Nonlinear Finite Element Methods. DOI 10.1007/978-3-7091-2826-8_2
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